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Simplifying 2[4x + -3] = 4x + -78 Reorder the terms: 2[-3 + 4x] = 4x + -78 [-3 * 2 + 4x * 2] = 4x + -78 [-6 + 8x] = 4x + -78 Reorder the terms: -6 + 8x = -78 + 4x Solving -6 + 8x = -78 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -6 + 8x + -4x = -78 + 4x + -4x Combine like terms: 8x + -4x = 4x -6 + 4x = -78 + 4x + -4x Combine like terms: 4x + -4x = 0 -6 + 4x = -78 + 0 -6 + 4x = -78 Add '6' to each side of the equation. -6 + 6 + 4x = -78 + 6 Combine like terms: -6 + 6 = 0 0 + 4x = -78 + 6 4x = -78 + 6 Combine like terms: -78 + 6 = -72 4x = -72 Divide each side by '4'. x = -18 Simplifying x = -18
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